Question

Please help me solve this limit, http://screencast.com/t/dpmqBR7voHNG

Without l'Hopital or Continuity Concept!

Answer 1

the limit seems to be zero but making the graph, i m still trying to do it analytically

Answer 2

mm i got it it is -0.866

Answer 3

You actually wouldn't use l'Hopitals, you can divide every term by x
so it will be \[\lim_{x \rightarrow \infty} \frac{ \frac{ \pi*x }{ x } }{ \frac{ -3x }{ x }+\frac{ 2 }{ x } } =\lim_{x \rightarrow \infty} \frac{ \pi }{ -3 + \frac{ 2 }{ x } } \]